Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering
The book discusses basic concepts of functional analysis, measure and integration theory, calculus of variations and duality and its applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formula...
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| Format: | eBook |
| Language: | English |
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Milton :
Taylor and Francis Group,
2020.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | The book discusses basic concepts of functional analysis, measure and integration theory, calculus of variations and duality and its applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formulations for micro-magnetism and others. Numerical Methods for such and similar problems, such as models in flight mechanics and the Navier-Stokes system in fluid mechanics have been developed through the generalized method of lines, including their matrix finite dimensional approximations. It concludes with a review of recent research on Riemannian geometry applied to Quantum Mechanics and Relativity. The book will be of interest to applied mathematicians and graduate students in applied mathematics. Physicists, engineers and researchers in related fields will also find the book useful in providing a mathematical background applicable to their respective professional areas. |
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| Item Description: | 8.6 Lebesgue measurable functions |
| Physical Description: | 1 online resource (589 pages) |
| ISBN: | 9781000205879 1000205878 9781000205893 1000205894 9781000205886 1000205886 9780429343315 0429343310 |